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What else can I help you with?
If you are asked to solve a system of equations in which there is no linear equation to start with you can sometimes begin isolating and substituting a variable that is squared in both equations?
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How would you know that your equation has no solutions without actually solving it?
It really depends on the type of equation. Sometimes you can know, from experience with similar equations. But in many cases, you have to actually do the work of trying to solve the equation.
How does writing equivalent equations help you solve a system of equations?
You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.
Two numbers have a product of 80 their sum is 24?
Let's denote the two numbers as x and y. We know that xy = 80 and x + y = 24. We can solve this system of equations by substituting one equation into the other. By substituting y = 24 - x into the first equation, we get x(24 - x) = 80. Simplifying this equation gives us a quadratic equation: x^2 - 24x + 80 = 0. Solving this quadratic equation will give us the values of x and y.
What makes an equation either inconsistent consistent dependent or independent?
That doesn't apply to "an" equation, but to a set of equations (2 or more). Two equations are:* Inconsistent, if they have no common solution (a set of values, for the variables, that satisfies ALL the equations in the set). * Consistent, if they do. * Dependent, if one equation can be derived from the others. In this case, this equation doesn't provide any extra information. As a simple example, one equation is the same as another equation, multiplying both sides by a constant. * Independent, if this is not the case.
If you are asked to solve a system of equations in which there is no linear equation to start with you can sometimes begin by isolating and substituting a variable that is squared in both equations.?
true
If you are asked to solve a system of equations in which there is no linear equation to start with you can sometimes begin isolating and substituting a variable that is squared in both equations?
true
If you're asked to solve a system of equations in which there is no linear equation to start with you can sometimes begin by isolating and substituting a variable that is squared in both equations?
true
How do you solve y equals x-3 and 2x equals y equals 3?
The second "equation" is, in fact, two equations, and the three equations are inconsistent.The "second" equation gives :2x = 3 so that x = 3/2 and also y = 3But substituting these values in the first equation implies that 3 = (3/2) - 3or 3 = 3/2 or 2 = 1 which is a contradiction.The second "equation" is, in fact, two equations, and the three equations are inconsistent.The "second" equation gives :2x = 3 so that x = 3/2 and also y = 3But substituting these values in the first equation implies that 3 = (3/2) - 3or 3 = 3/2 or 2 = 1 which is a contradiction.The second "equation" is, in fact, two equations, and the three equations are inconsistent.The "second" equation gives :2x = 3 so that x = 3/2 and also y = 3But substituting these values in the first equation implies that 3 = (3/2) - 3or 3 = 3/2 or 2 = 1 which is a contradiction.The second "equation" is, in fact, two equations, and the three equations are inconsistent.The "second" equation gives :2x = 3 so that x = 3/2 and also y = 3But substituting these values in the first equation implies that 3 = (3/2) - 3or 3 = 3/2 or 2 = 1 which is a contradiction.
How do you work a simultaneous equation?
You cannot work a simultaneous equation. You require a system of equations. How you solve them depends on their nature: two or more linear equations are relatively easy to solve by eliminating variables - one at a time and then substituting these values in the earlier equations. For systems of equations containing non-linear equations it is simpler to substitute for variable expression for one of the variables at the start and working towards the other variable(s).
What do you do when you have two equations mutiply or divide?
To solve two simultaneous equations - usually two equations with the same two variables each - you can use a variety of techniques. Sometimes you can multiply one of the two equations by a constant, then add the two equations together, to get a resulting equation that has only one variable. Sometimes you can solve one of the equations for one variable, and replace this variable in the other equation. Once again, this should give you one equation with a single variable to be useful.
Who Invented the Substitution Method?
The substitution method in mathematics is a technique used to solve systems of equations by isolating one variable and substituting it into the other equation. The method is not attributed to a single inventor, as it has been used by mathematicians for centuries. The concept of substitution in algebra can be traced back to ancient civilizations such as the Babylonians and Greeks, who used similar methods to solve mathematical problems.
You are given two equations which are both true and you are asked to solve for both x and y You plan to solve this set of equations by substituting part of one equation into the other so you end up?
(a) rearrange one of the equations so that x or y is alone on one side of the equals sign.
How do you simplify math?
You can't. Math is not an algebraic expression. Simplifying an equation, however, can take multiple forms. Sometimes simplify simply means to solve an equation. Other times, it can mean to bring an equation into a standard form, such as with line equations, or quadratic equations.
Can you tell how a quadratic equation can become linear equation?
You can easily tell by substituting 0 for a.
How would you know that your equation has no solutions without actually solving it?
It really depends on the type of equation. Sometimes you can know, from experience with similar equations. But in many cases, you have to actually do the work of trying to solve the equation.
How does writing equivalent equations help you solve a system of equations?
You can write an equivalent equation from a selected equation in the system of equations to isolate a variable. You can then take that variable and substitute it into the other equations. Then you will have a system of equations with one less equation and one less variable and it will be simpler to solve.
